document.write( "Question 255021: A motor boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when traveling at 12 miles per hour. What was the length in miles of the lake? \n" ); document.write( "
Algebra.Com's Answer #187316 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motor boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when traveling at 12 miles per hour. What was the length in miles of the lake? \n" ); document.write( "------------------------------------------------------- \n" ); document.write( "Let the length of the lake be x miles. \n" ); document.write( "----- \n" ); document.write( "Fast-trip DATA: \n" ); document.write( "rate = 18 mph ; distance = x miles ; time = x/18 hr. \n" ); document.write( "-------------------------------------------------------------------- \n" ); document.write( "Slower-trip DATA: \n" ); document.write( "rate = 12 mph ; distance = x miles ; time = x/12 hr. \n" ); document.write( "---------------------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "slow time - fast time = 1/4 hr \n" ); document.write( "x/12 - x/18 = 1/4 \n" ); document.write( "Multiply thru by 36 to get: \n" ); document.write( "3x - 2x = 9 \n" ); document.write( "x = 9 miles \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |